Radiative and nonleptonic hyperon decays in broken SU(3)

Abstract

We report on the recently proposed joint resolution of two long-standing puzzles in weak radiative (WR) and nonleptonic (NL) hyperon decays (HD). First, a good VMD-based description of WRHD is presented. In particular, the large negative asymmetry observed in the Σ + → pγ decay is explained through a calculably large SU(3)-breaking effect in the relevant parity-violating amplitude. Second, the achieved description of the parity-violating WRHD amplitudes permits the extraction, via the SU (2)W + VMD route, of the non-soft-pion correction term in the parity-violating NLHD amplitudes. The latter subtracts a substantial amount from the current-algebra commutator term, thus leading to the resolution of the old S : P discrepancy in NLHD.

Studying radiative baryon decays with the SU(3) flavor symmetry

“…The SU(3) irreducible representation approach (IRA) shows a convenient connection with the SU(3) symmetry, and the topological diagram approach gives a better understanding of dynamics in the different amplitudes. The SU(3) flavor symmetry works well in the bottomed hadron decays [12][13][14][15][16][17][18][19][20][21][22][23][24][25], the charmed hadron decays [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40], and the hyperon decays [41][42][43][44][45].…”

Hyperon weak radiative decay *

“…It was shown in Refs. [11,12] that large negative values for the asymmetry parameter in were due to the SU(3) flavor symmetry breaking effects. In Ref.…”

“…There is an abundant amount of literature regarding theoretical efforts to understand the physics behind the Hara theorem and the experimental observations. A unified theory was proposed by Zenczykowski et al [5][6][7][8][9][10][11][12], who combined the SU (6) symmetry with the vector meson dominance for the study of the hyperon weak radiative decays. It was shown in Refs.…”

Hyperon Weak Radiative Decay

“…There is an abundant literature on the theoretical efforts in understanding the physics behind the Hara theorem and on the physical observations. A unified theory was proposed by Zenczykowski et al [5][6][7][8][9][10][11][12] who combined the SU(6) symmetry with the vector meson dominance for the study of the hyperon weak radiative decays. It was shown in Refs.…”

“…It was shown in Refs. [11,12] that large negative values for the asymmetry parameter in Σ + → pγ were due to the SU(3) flavor symmetry breaking effects. In Ref.…”